Julia Hartmann has been a professor at the University of Pennsylvania since 2014. Prior to that, she was the head of a research group at RWTH Aachen University and a von Neumann Fellow at the Institute for Advanced Study.
Hartmann’s research focuses on problems in algebra with relations to differential algebra and arithmetic geometry. The connecting theme of the questions she works on is the study of symmetries, i.e., of actions of groups on various algebraic objects. In collaboration with David Harbater, she developed the method of field patching. Among the most exciting applications of field patching are local-global principles for numerical invariants associated to fields.